30985416 has 256 divisors, whose sum is σ = 113356800. Its totient is φ = 7698240.

The previous prime is 30985411. The next prime is 30985417. The reversal of 30985416 is 61458903.

30985416 = T₃₆₃ + T₃₆₄ + ... + T₆₁₅.

30985416 = 329² + 330² + ... + 504².

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30985411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1347181 + ... + 1347203.

It is an arithmetic number, because the mean of its divisors is an integer number (442800).

Almost surely, 2^30985416 is an apocalyptic number.

30985416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30985416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56678400).

30985416 is an abundant number, since it is smaller than the sum of its proper divisors (82371384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30985416 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 11 representation: 30985416 = (16543890)₁₁.

30985416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 30985416 is about 5566.4545268959. The cubic root of 30985416 is about 314.0887952588.

The spelling of 30985416 in words is "thirty million, nine hundred eighty-five thousand, four hundred sixteen".